ON THE OPTIMAL LINEAR REGULATOR

Authors
KRATZ W
Citation
W. Kratz, ON THE OPTIMAL LINEAR REGULATOR, International Journal of Control, 60(5), 1994, pp. 1005-1013
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Journal title
International Journal of Control → ACNP
ISSN journal
00207179
Volume
60
Issue
5
Year of publication
1994
Pages
1005 - 1013
Database
ISI
SICI code
0020-7179(1994)60:5<1005:OTOLR>2.0.ZU;2-G
Abstract
This paper is concerned with the minimization of a given quadratic fun ctional for time-invariant, controllable linear systems with the const raint that another quadratic functional (the 'output energy') assumes a given value. It is shown that (under certain assumptions) an optimal solution exists if and only if the linear system is strongly observab le (i.e. observable with unknown inputs).